Archimedean classes in an ordered semigroup. I

Tôru Saitô

Czechoslovak Mathematical Journal (1976)

  • Volume: 26, Issue: 2, page 218-238
  • ISSN: 0011-4642

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Saitô, Tôru. "Archimedean classes in an ordered semigroup. I." Czechoslovak Mathematical Journal 26.2 (1976): 218-238. <http://eudml.org/doc/12933>.

@article{Saitô1976,
author = {Saitô, Tôru},
journal = {Czechoslovak Mathematical Journal},
language = {eng},
number = {2},
pages = {218-238},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Archimedean classes in an ordered semigroup. I},
url = {http://eudml.org/doc/12933},
volume = {26},
year = {1976},
}

TY - JOUR
AU - Saitô, Tôru
TI - Archimedean classes in an ordered semigroup. I
JO - Czechoslovak Mathematical Journal
PY - 1976
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 26
IS - 2
SP - 218
EP - 238
LA - eng
UR - http://eudml.org/doc/12933
ER -

References

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  1. G. Birkhoff, Lattice theory, 3rd edition. Amer. Math. Soc, Providence, R. I., 1967. (1967) Zbl0153.02501MR0227053
  2. A. H. Clifford, G. B. Preston, The algebraic theory of semigroups. Vol. I, Amer. Math. Soc., Providence, R. I., 1961. (1961) Zbl0111.03403MR0132791
  3. B. Pondělíček, Archimedean equivalence on ordered semigroups, Czechoslovak Math. J. 22 (97) (1972), 210-219. (1972) Zbl0251.06025MR0294200
  4. T. Saitô, 10.2969/jmsj/01420150, J. Math. Soc. Japan 14 (1962), 150-169. (1962) Zbl0112.02101MR0144993DOI10.2969/jmsj/01420150
  5. T. Saitô, 10.2140/pjm.1963.13.263, Pacific J. Math. 13 (1963), 263 - 295. (1963) Zbl0113.25202MR0152598DOI10.2140/pjm.1963.13.263
  6. T. Saitô, Note on the archimedean property in an ordered semigroup, Proc. Japan Acad. 46 (1970), 64-65. (1970) Zbl0347.06017MR0262135
  7. T. Saitô, Note on the archimedean property in an ordered semigroup, Bull. Tokyo Gakugei Univ. Ser. IV, 22 (1970), 8-12. (1970) Zbl0347.06017MR0268102
  8. T. Saitô, Elements of finite order in an ordered semigroup whose product is of infinite order, Proc. Japan Acad. 50 (1974), 268-270. (1974) Zbl0367.06018MR0360401
  9. T. Saitô, Archimedean classes in a nonnegatively ordered semigroup, to appear. Zbl0448.06013MR0682004

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